Question

4p + 1 > −7 or 6p + 3 < 33
How would the graph look like for this ^

Answer 1

the first step is "solve for p"
for the 1st relation
4p+1 > -7
add -1 to both sides:
4p+1-1 > -7 -1

can you simplify this?

Answer 2

it is p>-2

Answer 3

or did u have to change the sign

Answer 4

you did it right. if you are in doubt, try an easy number like 0 0> -2, and try 0 in the original 4*0+1 > ? -7 1>7 is true. so it works.
you only have to "flip signs" if you divide or multiply by a negative number.

for example -4p > 1
if you divide by -4, you have to flip the > to < like this: p< -1/4

but one way to stay out of trouble is ADD +4p to both sides
-4p+4p> 1+4p
0> 1+4p
then add -1 to both sides
-1>4p
now divide by 4
-1/4 > p
or p < -1/4 (no flipping of signs)

Answer 5

back to your problem. solve for p in
6p + 3 < 33

Answer 6

so you get p > -2 and p<5
often written as
-2 < p < 5